Atoms And Nuclei Question 276
Question: According to Bohr’s theory, the time averaged magnetic field at the center (i.e. nucleus) of a hydrogen atom due to the motion of electrons in the nth orbit is proportional to : (n = principal quantum number)
Options:
A) $ {{n}^{-4}} $
B) $ {{n}^{-5}} $
C) $ {{n}^{-3}} $
D) $ {{n}^{-2}} $
Show Answer
Answer:
Correct Answer: D
Solution:
- Magnetic field at the centre of nucleus of H-atom, $ B=\frac{{\mu_{0}}I}{2r} $ ?.(i) According to Bohr’s model, radius of orbit $ r\propto n^{2} $ eq. (i) we can also write as $ B\propto {{n}^{-2}} $
